Ranging from ancient Greek and Roman problems to modern applications and techniques, this book features 250 lively puzzles and problems, with solutions. Both beginners and advanced mathematicians will appreciate its variety of numerical pastimes, which include unusual historic problems from medieval European, Arabic, and Hindu sources.
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algebraic angles Answer arithmetical arrangement bers Black boat called captured cards casks cells checkers chess chessboard color cubes cyclic denote digits Diophantus disk divided divisible divisor dominoes empty equivalent error curve Euler squares example factor Fermat ﬁgurate numbers FIGURE ﬁll ﬁnal ﬁnd ﬁrst ﬁrst column ﬁve ﬁxed four fundamental square give Hence Heronian triangles integers interchange knight Latin square lattice magic constant magic series magic square main diagonal mathematical method modulo motion move multiple obtained occupy orthogonal pairs panmagic square pawns permutation pieces pile placed plane play player points polygons possible prime number probability problem punter queens Reﬂections remaining respect result right triangle ring round-robin tournament rows and columns side square of order stack strategic position successive Suppose theory third throw tion total number tours trimagic square upward diagonals vertex vertical White wins